3. A grocery store purchases melons from two distributors, J and K. Distributor J provides melons from organicfarms. The distribution of the diameters of the melons from Distributor J is approximately normal with mean133 millimeters (mm) and standard deviation 5 mm.(a) For a melon selected at random from Distributor J, what is the probability that the melon will have adiameter greater than 137 mm?Distributor K provides mnelons from nonorganic farms. The probability is 0.8413 that a melon selected at randomfrom Distributor K will have a diameter greater than 137 mm. For all the melons at the grocery store, 70 percentof the melons are provided by Distributor J and 30 percent are provided by Distributor K.(b) For a melon selected at random from the grocery store, what is the probability that the melon will have adiameter greater than 137 mm?(c) Given that a melon selected at random from the grocery store has a diameter greater than 137 mm, what isthe probability that the melon will be from Distributor J?ev theyath acal eala Xdse the

a) Distributor J : Mean , μ = 133 Standard deviation , σ = 5 We have to calculate : P⁡(X>137)…

Answered: 3. A grocery store purchases melons…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2) Bone density is measured using a z score.a) Find the probability the bone density is less than .845. b) Find the probability the bone density is in between -1.5 and 1.2. 3) Disney World requires that people employed as mickey mouse characters must have a height between 56in and 62 in. Suppose mens heights are normally dis- tributed with a mean of 68.6in and a standard deviation of 2.8 in. Suppose women heights are normally distributed with a mean of 63.7in and a standard deviation of 2.9 in. a) Find the percentage of men meeting the height requirement. b) If the height requirement is changed to exclude the tallest 50% of men and the shortest 5% of men, what are the new height requirements? 4) Out of the following, which are biased estimators of their corresponding popula- tion parameters? Sample mean, sample variance, sample range, sample standard deviation, sample proportion 5) Samples of size n = 2 are randomely selected with replacement from the popula- tion consisting of…
4. In a process for manufacturing glassware, glass stems are sealed by heating them in a flame. The temperature of the flame varies a bit. Here is the distribution of the temperature, X, measured in degrees Celsius: Temperature Probability 540 545 550 555 560 0.1 0.25 0.3 0.25 0.1 a) Calculate the mean temperature and the standard deviation of the distribution of temperatures. b) The target temperature is 550°C. What are the mean and standard deviation of the number of degrees off target, Y = X – 550? c) A manager asks for results in degrees Fahrenheit. What are the mean and standard deviation of the temperature on the F C+32 Fahrenheit scale? (
In a large town, adults’ height (in cm) follows a normal distribution with a mean of 165 cm and a standard deviation of 10 cm. If we draw 16 adults from this town at random, what is the probability that their average height exceeds 170 cm? A ) 97.72% B ) 95% C ) 2.28% D ) 5% E ) 1.96%
Q.no.1 A bottler of soft drinks packages cans in six-packs. Suppose that the fill per can has an approximate normal distribution with a mean of 12 fluid ounces and a standard deviation of 0.2 fluid ounces. a) What is the distribution of the total fill for a case of 24 cans? b)What is the probability that the total fill for a case is less than 286 fluid ounces?
3) Do people drive more slowly on tree-lined street? In the following table x is a random variable representing the number of tree per mile of road on randomly selected streets with a 25 mph speed limit in a major city while y represents the average speed of cars in mph sampled over a one-hour period at the same time of day 47 25 12 30 me to que 35 y 25 50 44 45 ent brit (d a) Draw a Scatter Plot Diagram of the data. Remember to label the axes appropriately and nsbnee sigmse eris bnit or slummot choose a consistent scale. cins2 oinutonomodgo2 nemdeent b) Based on the Scatter Plot Diagram, would you estimate the correlation coefficient to be positive, close to zero, or negative: 4) Professor Wan is in charge of a program to prepare people for a high-school equivalence exam. Records show that 70% of the students need work in math, 60% need work in English, and 50% need work in both areas. Use the appropriate formula to compute the probability that a student selected at random will need…
3. Calculate the mean, variance, and standard deviation of a binomial probability distribution, using the data: n = 9, x = 6, q = 0.75. a) Average b) Variance c) Standard Deviation
3. The taxi and takeoff time for commercial jets is a random variable x with a mean of 8 minutes and a standard deviation of 3 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. a). Find the probability that for 36 jets the average taxi and takeoff time is less than 8.33 minutes per plane. b). Find the probability that for 36 jets the average taxi and takeoff times is more than 8.55 minutes.

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